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Finding the Fourth Proportional to 2,534, 3,802.80 and 995

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Solution

The fourth proportional to 2,534, 3,802.80 and 995 is: 1,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534 : 3,802.80 = 995 : x
  2. Step 2: Convert to fraction form
    2,534/3,802.80 = 995/x
  3. Step 3: Cross multiply
    2,534x = 3,802.80 × 995
  4. Step 4: Simplify right side
    2,534x = 3,783,786
  5. Step 5: Solve for x
    x = 3,783,786/2,534
  6. Step 6: Final answer
    x = 1,493.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.